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How to find L1 and L4 for Missing alternative angles?

How to find L1 and L4 for Missing alternative angles?-example-1
User Mad Angle
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1 Answer

11 votes
11 votes

Remember that:

The angles 3 and 4 are supplementary angles.

The angles 1 and 2 are also supplementary angles.

When two angles are supplementary, their sum is always 180°, so, we could write:


\begin{gathered} \angle3+\angle4=180 \\ 93.4+\angle4=180 \\ \angle4=180-93.4 \\ \angle4=86.6 \end{gathered}

And,


\begin{gathered} \angle1+\angle2=180 \\ \angle1+86.6=180 \\ \angle1=180-86.6 \\ \angle1=93.4 \end{gathered}

User Thomas Dignan
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